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Finding the Fourth Proportional to 13,730.56, 20,584.50 and 6,328.80

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Solution

The fourth proportional to 13,730.56, 20,584.50 and 6,328.80 is: 9,487.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.56 : 20,584.50 = 6,328.80 : x
  2. Step 2: Convert to fraction form
    13,730.56/20,584.50 = 6,328.80/x
  3. Step 3: Cross multiply
    13,730.56x = 20,584.50 × 6,328.80
  4. Step 4: Simplify right side
    13,730.56x = 130,275,183.60
  5. Step 5: Solve for x
    x = 130,275,183.60/13,730.56
  6. Step 6: Final answer
    x = 9,487.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.